In another baseball-related story, between 1980 and 2000, there was a remarkable increase in the number of

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In another baseball-related story, between 1980 and 2000, there was a remarkable increase in the number of home runs hit in the major leagues. A recent article stated that the average number of home runs per game rose from 1.47 in 1980 to 2.34 in 2000 (Rist, 2001). A factor thought to be a contributing factor to this increase is the ball itself. One of the responsibilities of a university-based research center sponsored by Major League Baseball is to check the weight of baseballs. In a recent report, this research center found that the weight of baseballs used in the 2000 season had a mean of 5.07 ounces with a standard deviation of .06 ounces.

a. Major League Baseball specifies that the weight of baseballs should be between 5.00 and 5.25 ounces. What percentage of the baseballs falls outside of the specified range? That is, what percentage of the 2000 baseballs was less than 5.00 ounces, and what percentage weighed more than 5.25 ounces?

b. A sample of baseballs weighed in 1999 had a mean weight of 5.09 ounces with a standard deviation of .05 ounces.

What percentage of the 1999 baseballs fell outside of the 5.00 to 5.25 range?

c. Comparing the results of the two seasons, what conclusions might you reach regarding the weight of baseballs?

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